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2504071136 = 25727740357
BaseRepresentation
bin1001010101000001…
…0001011111100000
320110111211222211102
42111100101133200
520112020234021
61052250533532
7116024152640
oct22520213740
96414758742
102504071136
111075534786
1259a7372a8
1330ba264c8
1419a7d0520
15e9c8200b
hex954117e0

2504071136 has 48 divisors (see below), whose sum is σ = 5654640096. Its totient is φ = 1069272576.

The previous prime is 2504071121. The next prime is 2504071147. The reversal of 2504071136 is 6311704052.

It is a junction number, because it is equal to n+sod(n) for n = 2504071099 and 2504071108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41870 + ... + 82226.

It is an arithmetic number, because the mean of its divisors is an integer number (117805002).

Almost surely, 22504071136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504071136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827320048).

2504071136 is an abundant number, since it is smaller than the sum of its proper divisors (3150568960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2504071136 is a wasteful number, since it uses less digits than its factorization.

2504071136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40651 (or 40643 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2504071136 is about 50040.6947993331. The cubic root of 2504071136 is about 1357.9451263071.

Adding to 2504071136 its reverse (6311704052), we get a palindrome (8815775188).

The spelling of 2504071136 in words is "two billion, five hundred four million, seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 277 554 1108 1939 2216 3878 4432 7756 8864 15512 31024 40357 62048 80714 161428 282499 322856 564998 645712 1129996 1291424 2259992 4519984 9039968 11178889 22357778 44715556 78252223 89431112 156504446 178862224 313008892 357724448 626017784 1252035568 2504071136